Select the set that is equivalent to (S∪T)\(S ∩ -T). a.S ∪ T b.T c.S d.S ∩ T
Question
Select the set that is equivalent to (S∪T)(S ∩ -T). a.S ∪ T b.T c.S d.S ∩ T
Solution
The correct answer is c. S.
Here's why:
The expression (S∪T)(S ∩ -T) represents the set of all elements that are in S union T but not in the intersection of S and the complement of T.
The intersection of S and the complement of T (S ∩ -T) represents all elements that are in S but not in T.
So, (S∪T)(S ∩ -T) represents all elements that are in S union T but not in S but not in T. This simplifies to all elements that are in T but not in S.
Therefore, the set that is equivalent to (S∪T)(S ∩ -T) is S.
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